On strongly minimal Kähler surfaces in \(\mathbb{C}^3\) and the Equality \(\mathrm{scal}(p) = 4 \inf \mathrm{sec}(\pi^r)\)
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Publication:498368
DOI10.1007/S00025-014-0421-3zbMath1334.53053OpenAlexW61407898MaRDI QIDQ498368
Publication date: 28 September 2015
Published in: Results in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00025-014-0421-3
Global differential geometry of Hermitian and Kählerian manifolds (53C55) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)
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Cites Work
- Chen inequalities for submanifolds of real space forms with a semi-symmetric metric connection
- An inequality between intrinsic and extrinsic scalar curvature invariants for codimension 2 embeddings
- Some pinching and classification theorems for minimal submanifolds
- On a Riemannian invariant of Chen type
- Chen ideal Kähler hypersurfaces
- On Chen's basic equality
- Curvature identities for Hermitian and almost Hermitian manifolds
- Lagrangian submanifolds of quaternion Kaehlerian manifolds satisfying Chen's equality
- On submanifolds of \(L\times_f F\) satisfying Chen's basic inequality
- B. Y. Chen's inequality for \(S\)-space-forms: applications to slant immersions
- A series of Kählerian invariants and their applications to Kählerian geometry
- B.-Y. Chen inequalities for semislant submanifolds in Sasakian space forms
- The Chen invariants of warped products of hyperbolic planes and their applications to immersibility problems
- On Chen invariant of CR-submanifolds in a complex hyperbolic space.
- A Riemannian invariant and its applications to submanifold theory
- A complex analogue of Hartman-Nirenberg cylinder theorem
- Differential geometry of Kaehler submanifolds
- Lagrangian submanifolds attaining equality in the improved Chen's inequality
- B.-Y. Chen's inequality for submanifolds of generalized space forms
- Three-dimensional minimal CR submanifolds in \(S^{6}\) satisfying Chen's equality
- Differential geometry of complex hypersurfaces
- Differential geometry of complex hypersurfaces. II
- Ideal Kählerian slant submanifolds in complex space forms
- 4-dimensional minimal CR submanifolds of the sphere \(S^{6}\) satisfying Chen's equality
- A best possible inequality for curvature-like tensor fields
- Chen's inequality in the Lagrangian case
- Relations between Ricci curvature and shape operator for submanifolds with arbitrary codimensions
- B.Y. CHEN INEQUALITIES FOR BI-SLANT SUBMANIFOLDS IN SASAKIAN SPACE FORMS
- ON ISOMETRIC MINIMAL IMMERSIONS FROM WARPED PRODUCTS INTO REAL SPACE FORMS
- Mean curvature and shape operator of isometric immersions in real-space-forms
- Totally real submanifolds in $S^6(1)$ satisfying Chen’s equality
- Semi-parallel, semi-symmetric immersions and Chen's equality
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